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A new look at the fractionalization of the logistic equation

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  • Ortigueira, Manuel
  • Bengochea, Gabriel

Abstract

The fractional version of the logistic equation will be studied in this paper. Motivated by unsuccessful previous papers, we showed how to obtain the correct solution. The algorithm is very simple. Its numerical implementation will be studied and exemplified using a Padé approximation.

Suggested Citation

  • Ortigueira, Manuel & Bengochea, Gabriel, 2017. "A new look at the fractionalization of the logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 467(C), pages 554-561.
    • Handle: RePEc:eee:phsmap:v:467:y:2017:i:c:p:554-561
    DOI: 10.1016/j.physa.2016.10.052
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    References listed on IDEAS

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    1. West, Bruce J., 2015. "Exact solution to fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 103-108.
    2. Area, Iván & Losada, Jorge & Nieto, Juan J., 2016. "A note on the fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 444(C), pages 182-187.
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    Cited by:

    1. D’Ovidio, Mirko & Loreti, Paola & Sarv Ahrabi, Sima, 2018. "Modified fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 818-824.
    2. D’Ovidio, Mirko & Loreti, Paola, 2018. "Solutions of fractional logistic equations by Euler’s numbers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 1081-1092.
    3. Al-Nassir, Sadiq, 2021. "Dynamic analysis of a harvested fractional-order biological system with its discretization," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    4. Area, I. & Nieto, J.J., 2021. "Power series solution of the fractional logistic equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 573(C).

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